Search a number
-
+
23142435804 = 2234641111431
BaseRepresentation
bin10101100011011001…
…011000101111011100
32012201211120112210000
4111203121120233130
5334343430421204
614344222414300
71446330313215
oct254331305734
965654515700
1023142435804
1198a6335604
12459a431390
13224a7400c7
1411977a840c
15906a98039
hex563658bdc

23142435804 has 60 divisors (see below), whose sum is σ = 60593824368. Its totient is φ = 7702041600.

The previous prime is 23142435791. The next prime is 23142435817. The reversal of 23142435804 is 40853424132.

23142435804 is a `hidden beast` number, since 2 + 3 + 142 + 435 + 80 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23142435791) and next prime (23142435817).

It is a super-2 number, since 2×231424358042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151969 + ... + 263399.

Almost surely, 223142435804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142435804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30296912184).

23142435804 is an abundant number, since it is smaller than the sum of its proper divisors (37451388564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23142435804 is a wasteful number, since it uses less digits than its factorization.

23142435804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112088 (or 112077 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 23142435804 its reverse (40853424132), we get a palindrome (63995859936).

The spelling of 23142435804 in words is "twenty-three billion, one hundred forty-two million, four hundred thirty-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 641 1282 1923 2564 3846 5769 7692 11538 17307 23076 34614 51921 69228 103842 111431 207684 222862 334293 445724 668586 1002879 1337172 2005758 3008637 4011516 6017274 9025911 12034548 18051822 36103644 71427271 142854542 214281813 285709084 428563626 642845439 857127252 1285690878 1928536317 2571381756 3857072634 5785608951 7714145268 11571217902 23142435804